Graphing Slope-Intercept Form Mastery

This video tutorial covers graphing lines using the slope-intercept form, y = mx + b. It explains the components of the form, including the slope (m) and y-intercept (b), and demonstrates how to graph lines using these elements. The tutorial includes multiple examples, showing how to graph lines with positive and negative slopes, zero y-intercepts, and how to rewrite equations in slope-intercept form. Additionally, it covers writing linear equations from given graphs, emphasizing the importance of identifying the slope and y-intercept.

What does the 'm' represent in the slope-intercept form of a linear equation?

• The x-intercept

• The slope

• The y-intercept

• The origin

In the equation y = mx + b, what does the 'b' represent?

• The origin

• The y-intercept

• The slope

• The x-intercept

When graphing a line, what is the first point you should plot?

• The x-intercept

• The midpoint

• The y-intercept

• The slope

If the slope (m) is 2/3, how do you plot the next point from the y-intercept?

• Up 2, right 3

• Up 3, right 2

• Down 2, left 3

• Down 3, left 2

What does a negative slope indicate about the direction of the line?

• The line goes downhill

• The line goes uphill

• The line is vertical

• The line is horizontal

For a slope of -1/2, which direction do you move from the y-intercept to plot the next point?

• Down 2, right 1

• Up 2, right 1

• Down 1, right 2

• Up 1, right 2

If the y-intercept (b) is zero, where do you plot the first point?

• (1, 0)

• (0, 1)

• (1, 1)

• (0, 0)

For a slope of -5, how do you plot the next point from the y-intercept?

• Up 1, right 5

• Down 1, right 5

• Up 5, right 1

• Down 5, right 1

How do you rewrite the equation 5 - 1/3x in slope-intercept form?

• y = -1/3x + 5

• y = 5x - 1/3

• y = 1/3x - 5

• y = -5x + 1/3

When writing the equation of a line from a graph, what information do you need?

• Y-intercept and origin

• X-intercept and origin

• Slope and y-intercept

• Slope and x-intercept